Results 241 to 250 of about 769,785 (290)
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System Embedding. Polynomial Equations
Automation and Remote Control, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bukov, V. N. +2 more
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The Mathematical Intelligencer, 1987
The paper presents a short but very essential review of the main ideas on the homotopy continuation method of solving polynomial systems by means of reducing them to some Cauchy problem for a corresponding system of ordinary differential equations. Starting from a simple example the author discusses all the possible difficulties in the application of ...
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The paper presents a short but very essential review of the main ideas on the homotopy continuation method of solving polynomial systems by means of reducing them to some Cauchy problem for a corresponding system of ordinary differential equations. Starting from a simple example the author discusses all the possible difficulties in the application of ...
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Darboux polynomials and first integrals of polynomial Hamiltonian systems
Communications in Nonlinear Science and Numerical Simulation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei Pranevich +2 more
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Robust Polynomial Observers For Positive Polynomial Fuzzy Systems
2021 18th International Multi-Conference on Systems, Signals & Devices (SSD), 2021A novel approach is proposed to design a robust observer for a class of positive polynomial fuzzy models. To study the considered analysis and design problems, a line-integral polynomial fuzzy Lyapunov function with polynomial terms depending of the estimated states is proposed.
Imen Iben Ammar +3 more
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2020
This chapter considers the known techniques to solve (systems of) nonlinear polynomial equations. After giving a historical overview of the topic, we describe algorithms to solve univariate polynomials of high degree. The remainder of the chapter deals with algorithms to solve systems of nonlinear multivariate polynomials. We describe the XL algorithm,
Jintai Ding +2 more
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This chapter considers the known techniques to solve (systems of) nonlinear polynomial equations. After giving a historical overview of the topic, we describe algorithms to solve univariate polynomials of high degree. The remainder of the chapter deals with algorithms to solve systems of nonlinear multivariate polynomials. We describe the XL algorithm,
Jintai Ding +2 more
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2003
This chapter is mainly devoted to algorithms for solving certain special zero-dimensional polynomial systems and certain applications. In the first section, we explain a few results on Grobner bases. This enables us to decide in Section 2 whether a polynomial system is zero-dimensional.
Saugata Basu +2 more
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This chapter is mainly devoted to algorithms for solving certain special zero-dimensional polynomial systems and certain applications. In the first section, we explain a few results on Grobner bases. This enables us to decide in Section 2 whether a polynomial system is zero-dimensional.
Saugata Basu +2 more
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Polynomial Observer for Interval Positive Polynomial Systems
2019 8th International Conference on Systems and Control (ICSC), 2019This paper is concerned with the design of polynomial observers for positive polynomial interval systems. In order to design the polynomial observer a solution based on Sum Of Squares (SOS) programming is provided. The design conditions are presented in terms of SOS, which can be numerically and symbolically solved via SOSTOOLS and a Semi-Definite ...
Imen Iben Ammar +4 more
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Controllability of structured polynomial systems
IEEE Transactions on Automatic Control, 1999Summary: Two algorithms, based on the Gröbner basis method, which facilitate the controllability analysis for a class of polynomial systems are presented. We combine these algorithms with some recent results on output dead-beat controllability in order to obtain sufficient, as well as necessary, conditions for complete and state dead-beat ...
Nešić, D, Mareels, IMY
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The 22nd IEEE Conference on Decision and Control, 1983
In this paper we consider polynomial differential systems controlled by means of constant vector fields. We focus on systems described by homogenous polynomial vector fields whose degree of homogeneity is odd. We completely characterise the controllability properties of such systems in a manner identical to the corresponding theory of linear systems.
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In this paper we consider polynomial differential systems controlled by means of constant vector fields. We focus on systems described by homogenous polynomial vector fields whose degree of homogeneity is odd. We completely characterise the controllability properties of such systems in a manner identical to the corresponding theory of linear systems.
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